Nonlinear boundary value problems of fractional differential systems

作者：Liu, Zhenhai^*; Sun, Jihua

来源：Computers & Mathematics with Applications, 2012, 64(4): 463-475.

DOI：10.1016/j.camwa.2011.12.020

• Nonlinear boundary value problem
• Fractional differential systems
• Monotone iterative technique
• Extremal generalized solutions

In this paper, we consider the existence of generalized solutions for fractional differential systems with nonlinear boundary value conditions. We first establish a new comparison theorem. By applying the monotone iterative technique and the method of lower and upper generalized solutions, we obtain sufficient conditions for existence of extremal generalized solutions.

• 出版日期2012-8
• 单位广西民族大学